Youtube

Very exciting...
But first I would like to say how sorry I am for not posting in almost 2 weeks!

I have started a YouTube channel, ey?
Who would of thought it:)
It was pretty obvious to me I would do one, because of how blogs are not really a good way to make you learn and understand right?

So check it out! Tell your friends, family, people you know that are sturggling in maths and hope you love it!

Maths IsLife - YouTube

Hope you LOVE it and it helps you out.
Sorry about my voice in the video's, it killed me listening to it back :(

:)

Photo's and Brilliant

DISCLAIMER!!

I would just like to say... All the photo's, pictures I post are mine. I have made them with no help. I haven't copied and pasted them because I believe, copyright is wrong! These are made by me, no-one else and that is how it is going to stay! I put a lot of hard work into making my posts fun and exciting. As I only wish one day I can help many people with there maths problems!!

More Happier note!!!
Have you tried out this website called Brilliant?
It is fun and packed with great ways to expand your working mind!
It was shown to me by an amazing lady, one of the maths teachers I have at the school I go to and it has had me hooked.
With great ways to learn Algebra, trigonometry and geometry and so much more!
I wish I would of found it sooner, because it helped me a lot and I'm sure it will help you!
Here is a link to the website.
Link
If you would like to follow me, let me know and I can give you my name;)
Hope you all view this and have a jolly good time on it :)

Thanks for reading x

Circle theorems #2

Hello thriving mathematicians :)
As I well and truly said, here is another circle theorems post!!

It is a very simple post, but holds valuable information for you to be able to smash you GCSE'S!!!!!!!!

Parts of a circle!
When somebody asks you 'Name the parts of a circle' the majority of people would say area and perimeter. The odd few will say radius and diameter. But how many of you actually name more that 2. How about 11? Yeah!!!!!!!!!

Well, here is a list!!!

• The circle itself! Also known as the circumference.
• Centre
• Radius 
• Diameter
• Arc
• Chord 
• Sector
• Segment (Minor and Major)
• Tangent
• Quadrant 
• Semi Circle

With some exam boards you only need to know a small minority of these and there formulas.
Lets see some pictures! -with an explanation!

Just around the circle is the circumference!
Instead of calling it the perimeter we call it circumference!!

There is nothing I can really say about this.
The red dot is the centre:)

Repost of the radius and diameter. Radius is from centre to circumference and diameter is from edge-edge.

The red line is called the arc!!!!

2 In 1! The red line is called the chord. It is from edge-edge!
The pink section is the segment.

The Blue section is called the sector.

There is a line that joins onto the bottom of a circle, not permanently of course.
Bit it is a line. A simple line. Called Tangent

Now, you may see this as a sector. But any clever mathematician would know it is in fact a quadrant .
This is one you don't really need to know, but it is good to anyway!

And the final one is in fact a semi circle.
Which is just half a circle, no more, no less!





That is it for today's post! But something is definitely missing! Yeah, CIRCLE ANGLES!!
Next post ya? And no I don't just mean a circle has a 360 degree angle. Nope there are so much more!
Circle theorems have a lot! Right?
Believe me we have been doing these the past 4 lessons in maths and I'm sure there are more to come!
Hope you've all had a wonderful Easter, and a lovely Easter Holiday / Spring Break and are all eager to get back to school!! See you next post ;)

Thanks for Reading!

Circle Theorems

Circle theorems!

The joys of circle theorems have finally landed on this page!!!
I always find circle theorems one of the most easiest, along with Pythagorean theory the most easiest of the theorems to learn!
Today we are going to go through the basics of them!!

Lets take a look at a basic labelled diagram!

• The radius is the red line. We know it is the radius because the radius is centre to edge!
• The diameter is the blue line. We know this because the diameter is edge to edge!
• Also we know that the full circle around (the black circle) is the circumference.

The only equations we need to know for this are the area and circumference equations.

Area = πR^{2 = Pi x R x 2} 

Circumference= π x D 

• If we know the radius is 4 then we can work out the diameter is 8.
• If we know the diameter is 6 we can work out the radius is 3 

These are CALCULATOR equations, unless you are a wizz and can do this in your head!!! 

1.A circle has a Diameter of 8, what is the area?

π x r x 2 

In a calculator write π x 4 x 2 

You should get the answer of 50.27 rounded to 2dp.

2. A circle has a radius of 16, what is the Circumference?

π x D

In a calculator write π x 32 

You should get the answer of 100.53 rounded to 2dp

This is all for this blog!! Look out for Circle theorems #2 

We will be looking at labelling the different parts of a circle!!!

 

Thank you for learning :)

Probability tree diagrams

Probability tree diagrams are the one thing I find my peers always forget.

With a little but of encouragement they could be a master at them! 

Unfortunately, I am a student myself so I do not have the qualifications desired for teaching. But I do know how to teach! 

Lets get into it! 

What does a probability tree diagram look like?

•  Like this.
• You are able to add more ''twigs'' depending on what the question is asking you. 
• The single lines, are were you can write the outcome. 
• This makes probability much easier. 

Lets get right into the questions, and how to do it!

1. Jenny has a bag full of Purple and Blue counters.The chance of pulling out a Purple counter is 3/5. She pulls out two counters, one after the other. What is the chance of pulling out a two blue counters. 

So the first thing we need to look at is the probability of Blue counters. So we know that Purple is 3/5 so Blue must be 2/5.

Now we need a tree diagram!!

Plot what we know!!!

• We have added the fraction amount onto the grid!
• now we need to look at what is left:) 

We know if we take one out of the bag we are left with 4. If we take a Purple out we are left with 2/4 and if we take a Blue out we are left with 1/4. We are able to plot that on the tree now, watch.

• I have filled in the tree diagram, can you see what I did?
• If not, leave a comment and i'll email you to help!:)
• Now we have all our information we can answer the question:)

To be able to find this out we need to be able to multiply fractions. To do that we can times the numerators together and the denominators together. And we are asked to see what is the probability of pulling out two blues.

We now multiply both of the Blue fractions:)

2/5 x 1/4 = 2/20 

We can simplify this 

1/10

and we can turn this into percent = 10% 

With probability you should always answer in % unless is says otherwise :)

Thank you for learning :) 

Solving 2-step linear equations

Solving 2-step linear equations are the most simplest algebraic equations to solve:)

They are simply finding out what the letter is:)
Unfortunately it is only a GradeD/Level6 ;(

Things to know:

• Remember what ever you are doing on the one side you are doing the opposite on both of the sides. (For Example: if you're adding on the left, you subtract from both, If you are multiplying on the left, you are dividing from both, and vice versa)

So lets get started :)

Examples
3x+1=13
-1        -1
3x=12
/3    /3 (dividing)
x=4

5x-3=27
+3     +3
5x=30
/5    /5
x=6

x/5+2=37
-2        -2
x/5=35
x5     x5
x=175

Here is 3 questions for you to try :)
1) 2x-3=13
2) 2x+4=10
3)4x-7=29
*Answers I will post in the next maths blog:)

Be sure to comment what you want me to do next :)

Solving simultaneous equations

This is for all you GCSE students, that feel they need to expand there knowledge on Simultaneous equations. For me, solving these equations always had me, until, one day my teacher sat down with me and explained them clear as day.

What is a simultaneous equations?
A Simultaneous equation, if a form of 2 equations with the values  x and y  missing.

What do I need to find?
You will need to find the value of x and y. 

Is it easy?
Yeah it is, really when you get the hang of it!


Rules
If the signs are the same ( + + or --) you take away the equations.
If the signs are different ( -+) you add the equations.
Always substitute the x's or the y's back into the equation.
You need to make sure that atleast, in both equations the y's OR the x's are the same.
Label the equations E.G a,b 1,2.

Lets get started

2x+3y=26 (1)
  x+3y=19 (2)
Already we notice the the y's are the same in both equations, meaning they both have the same value, also it has to positive sign's, so we know we have to minus (-) them. I have also labled the equations 1 and 2
Lets start by taking them away
2x-x= x
3y-3y=0
26-19=7
We can eliminate the y's.
X=7

Substitute the x back into any one formule. 
7+3y=19.
19-7=12
3y=12
y=12/3
y=4

x=7, y=4.

Thanks for Learning.
Part 2 will be up, next week.